Zhiren Jin
Abstract:
When an unbounded domain is inside a slab, existence of a positive
solution is proved for the Dirichlet problem of a class of semilinear
elliptic equations similar to the singular Emden-Fowler equation.
The proof is based on a super and sub-solution method.
A super solution is constructed by Perron's method together with a
family of auxiliary functions.
Submitted December 11, 2002. Published April 29, 2003.
Math Subject Classifications: 35J25, 35J60, 35J65.
Key Words: Elliptic boundary value problems, positive solutions,
singular semilinear equations, unbounded domains,
Perron's method, super solutions.
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Zhiren Jin Department of Mathematics and Statistics Wichita State University Wichita, Kansas, 67260-0033, USA email: zhiren@math.twsu.edu |
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